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There's plenty of accommodation in all price brackets in South Korea. Note that prices in Seoul are typically about twice that of anywhere else in the country.
Some higher-end hotels offer a choice of both Western-style and Korean-style rooms. The main feature of Korean rooms is an elaborate floor-heating system known as ondol (온돌), where hot steam (or, these days, water or electricity) heats stone slabs under a layer of clay and oiled paper. There are no beds; instead, mattresses are laid directly on the floor. Other furniture is typically limited to some low tables (you're also expected to sit on the floor) and maybe a TV.
Motels
Some of the cheapest accommodation in South Korea are in what are locally termed motels (모텔 motel) or yeogwan (여관), but these are rather different from motels in the West and closer to Japan's "love hotels". Motels in South Korea are generally very cheap hotels targeted at young couples aiming to spend 'time' together away from their elders, complete with plastic beds, occasionally vibrating, with strategically placed mirrors on the ceiling, as well as a VCR and a variety of appropriate videos. However for the budget traveller, they can simply be inexpensive lodging, with rates as low as W25,000/night.
The easiest way to find a motel is to just look for the symbol "♨" and gaudy architecture, particularly near stations or highway exits. They're harder to find online, as they rarely if ever show up in English-language booking sites, but Hotel365 [14] (Korean only) has comprehensive listings for the entire country.
In some motels picking your room is very easy, as there will be room numbers, lit pictures and prices on the wall. The lower price is for a "rest" (휴식 hyusik) of two to four hours, while the higher price is the overnight rate. Press the button for the one you like, which will go dark, and proceed to check-in. You'll usually be expected to pay in advance, often to just a pair of hands behind a frosted glass window. English is rarely spoken, but the only word you need to know is sukbak (숙박, "staying"). You may or may not receive a key, but even if you don't, the staff can usually let you in and out on request — just don't lose your receipt!
Hotels
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Minbak
In rural areas in and near national parks, you can find a minbak (민박). Most of these are just a room or two in someone's home - others are quite fancy and may be similar to yeogwans (motels) or hotels. Generally, they have ondol rooms with maybe a TV and that's about it. You don't usually get your own bathroom in your room, although some of the fancier ones do have an en suite. Minbaks usually run around 20,000 won off-season though the price may go up quite a bit during high season.
Homestay
Very similar in concept to a Minbak, these aren't limited to just rural areas or near national parks. Since the World Cup in 2002, many families around the country have opened their doors and hearts to foreigners looking for a good place to sleep and a breakfast included in the price. These can run between 30,000 and 35,000 won per night. Try eg. Homestaykorea [15] or LABO [16].
Jjimjilbang
F
or the budget traveller public bath houses known as jjimjilbang (찜질방) can offer a great way to sleep. Entrance costs around W5,000-W10,000 to get in, and includes a robe or pajamas to wear. Inside the facilities can be expansive, including showers, public baths, restaurants, computer/video game rooms, a room with DVD movies, and places to sleep, although this often means little more than a quiet, warm room with maybe some wooden blocks to rest your head on. These places are more often meant for families or couples coming in for the day and as such are not perfectly catered to travelers. When you leave you have to take everything with you, and pay to get back in. There is no secure place to leave your things except a single locker. Aside from these drawbacks, jjimjilbang offer a very relaxing place to sleep and bathe.
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Temples
From: http://wikitravel.org/en/South_Korea